Starting from Nosé-Hoover thermostatted walls, the paper derives linear response in terms of boundary heat flows, yielding Green's formula for thermal conductivity and the McLennan-Zubarev steady-state distribution.
Zwanzig, ''Time-correlation functions and transport coefficients in statistical mechanics,'' Annu
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Theory of Applying Heat Flow from Thermostatted Boundary Walls: Dissipative and Local-Equilibrium Responses and Fluctuation Theorems
Starting from Nosé-Hoover thermostatted walls, the paper derives linear response in terms of boundary heat flows, yielding Green's formula for thermal conductivity and the McLennan-Zubarev steady-state distribution.